Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebra so(2 r + 1, ℂ)

A new set of tableaux is presented to index the weights of the irreducible spinor representations of the orthogonal Lie algebra so(2 r + 1, ℂ). These tableaux are used to develop insertion schemes which combinatorially describe the decomposition of the tensor product of the spin representation with...

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Bibliographic Details
Published inJournal of combinatorial theory. Series A Vol. 57; no. 2; pp. 211 - 237
Main Authors Benkart, Georgia, Stroomer, Jeffrey
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 1991
Academic Press
Subjects
Algebra
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Mathematics
Sciences and techniques of general use
Linear combination
Lie algebra
Combinatorics
Tensor product
Spin
Spinor field
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Summary:A new set of tableaux is presented to index the weights of the irreducible spinor representations of the orthogonal Lie algebra so(2 r + 1, ℂ). These tableaux are used to develop insertion schemes which combinatorially describe the decomposition of the tensor product of the spin representation with an irreducible representation of so(2 r + 1, ℂ).
ISSN:0097-3165
1096-0899
DOI:10.1016/0097-3165(91)90046-J